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In this paper we address the problem of designing an interruptible system in a setting in which $n$ problem instances, all equally important, must be solved concurrently. The system involves scheduling executions of contract algorithms…

Data Structures and Algorithms · Computer Science 2018-10-29 Spyros Angelopoulos , Alejandro Lopez-Ortiz

The problem of scheduling jobs and choosing their respective speeds with multiple servers under a sum power constraint to minimize the flow time + energy is considered. This problem is a generalization of the flow time minimization problem…

Data Structures and Algorithms · Computer Science 2021-08-19 Rahul Vaze , Jayakrishnan Nair

In online scheduling, jobs are available one by one and each job must be scheduled irrevocably before the availability of the next job. Semi-online scheduling is a relaxed variant of online scheduling, where an additional memory in terms of…

Data Structures and Algorithms · Computer Science 2020-05-19 Debasis Dwibedy , Rakesh Mohanty

We contribute the first randomized algorithm that is an integration of arbitrarily many deterministic algorithms for the fully online multiprocessor scheduling with testing problem. When there are two machines, we show that with two…

Data Structures and Algorithms · Computer Science 2023-06-29 Mingyang Gong , Zhi-Zhong Chen , Guohui Lin , Lusheng Wang

This paper considers scheduling on identical machines. The scheduling objective considered in this paper generalizes most scheduling minimization problems. In the problem, there are $n$ jobs and each job $j$ is associated with a…

Data Structures and Algorithms · Computer Science 2019-04-23 Benjamin Moseley

This paper addresses the incompatible case of parallel batch scheduling, where compatible jobs belong to the same family, and jobs from different families cannot be processed together in the same batch. The state-of-the-art constraint…

Systems and Control · Electrical Eng. & Systems 2025-09-09 Jorge A. Huertas , Pascal Van Hentenryck

This paper considers the problem of scheduling jobs on single and parallel machines where all the jobs possess different processing times but a common due date. There is a penalty involved with each job if it is processed earlier or later…

Data Structures and Algorithms · Computer Science 2013-11-13 Abhishek Awasthi , Jörg Lässig , Oliver Kramer

Design and analysis of constant competitive deterministic semi-online algorithms for the multi-processor scheduling problem with small number of identical machines have gained significant research interest in the last two decades. In the…

Data Structures and Algorithms · Computer Science 2021-06-10 Debasis Dwibedy , Rakesh Mohanty

Randomized parallel algorithms for many fundamental problems achieve optimal linear work in expectation, but upgrading this guarantee to hold with high probability (whp) remains a recurring theoretical challenge. In this paper, we address…

Data Structures and Algorithms · Computer Science 2026-03-03 Chase Hutton , Adam Melrod

The paper considers scheduling on parallel machines under the constraint that some pairs of jobs cannot be processed concurrently. Each job has an associated weight, and all jobs have the same deadline. The objective is to maximise the…

Data Structures and Algorithms · Computer Science 2021-06-15 Yakov Zinder , Joanna Berlińska , Charlie Peter

Motivated by settings such as medical treatments or aircraft maintenance, we consider a scheduling problem with jobs that consist of two operations, a test and a processing part. The time required to execute the test is known in advance…

Data Structures and Algorithms · Computer Science 2024-06-25 Konstantinos Dogeas , Thomas Erlebach , Ya-Chun Liang

We study the problem of executing an application represented by a precedence task graph on a parallel machine composed of standard computing cores and accelerators. Contrary to most existing approaches, we distinguish the allocation and the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-20 Marcos Amaris , Giorgio Lucarelli , Clément Mommessin , Denis Trystram

While previous work on energy-efficient algorithms focused on assumption that tasks can be assigned to any processor, we initially study the problem of task scheduling on restricted parallel processors. The objective is to minimize the…

Data Structures and Algorithms · Computer Science 2013-09-17 Xibo Jin , Fa Zhang , Ying Song , Liya Fan , Zhiyong Liu

The scheduling literature has traditionally focused on a single type of resource (e.g., computing nodes). However, scientific applications in modern High-Performance Computing (HPC) systems process large amounts of data, hence have diverse…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-15 Lucas Perotin , Hongyang Sun , Padma Raghavan

We consider a natural scheduling problem which arises in many distributed computing frameworks. Jobs with diverse resource requirements (e.g. memory requirements) arrive over time and must be served by a cluster of servers, each with a…

Networking and Internet Architecture · Computer Science 2019-01-21 Konstantinos Psychas , Javad Ghaderi

We study the online preemptive scheduling of intervals and jobs (with restarts). Each interval or job has an arrival time, a deadline, a length and a weight. The objective is to maximize the total weight of completed intervals or jobs.…

Data Structures and Algorithms · Computer Science 2012-04-16 Stanley P. Y. Fung , Chung Keung Poon , Feifeng Zheng

To keep pace with Moore's law, chip designers have focused on increasing the number of cores per chip rather than single core performance. In turn, modern jobs are often designed to run on any number of cores. However, to effectively…

Performance · Computer Science 2017-11-02 Benjamin Berg , Jan-Pieter Dorsman , Mor Harchol-Balter

Multi-server jobs that request multiple computing resources and hold onto them during their execution dominate modern computing clusters. When allocating the multi-type resources to several co-located multi-server jobs simultaneously in…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-08 Hailiang Zhao , Shuiguang Deng , Zhengzhe Xiang , Xueqiang Yan , Jianwei Yin , Schahram Dustdar , Albert Y. Zomaya

Real-life parallel machine scheduling problems can be characterized by: (i) limited information about the exact task duration at scheduling time, and (ii) an opportunity to reschedule the remaining tasks each time a task processing is…

Optimization and Control · Mathematics 2023-11-22 Izack Cohen , Krzysztof Postek , Shimrit Shtern

We consider a fundamental online scheduling problem in which jobs with processing times and deadlines arrive online over time at their release dates. The task is to determine a feasible preemptive schedule on a single or multiple possibly…

Data Structures and Algorithms · Computer Science 2021-12-02 Franziska Eberle , Nicole Megow , Kevin Schewior